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Finding the Fourth Proportional to 81,549, 112,537.82 and 47,580.84

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Solution

The fourth proportional to 81,549, 112,537.82 and 47,580.84 is: 65,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,549 : 112,537.82 = 47,580.84 : x
  2. Step 2: Convert to fraction form
    81,549/112,537.82 = 47,580.84/x
  3. Step 3: Cross multiply
    81,549x = 112,537.82 × 47,580.84
  4. Step 4: Simplify right side
    81,549x = 5,354,644,007.37
  5. Step 5: Solve for x
    x = 5,354,644,007.37/81,549
  6. Step 6: Final answer
    x = 65,661.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.